Nearly Kähler manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor

DOI10.1016/j.difgeo.2008.10.007zbMath1167.53030OpenAlexW2040752901WikidataQ115357403 ScholiaQ115357403MaRDI QIDQ1012340

J. Martínez

Publication date: 16 April 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.10.007

zbMATH Keywords

nearly Kähler manifoldconformally flat manifoldBochner flat manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (4)

Universal curvature identities. II. ⋮ Geometric realizability of covariant derivative Kähler tensors for almost pseudo-Hermitian and almost para-Hermitian manifolds ⋮ Universal curvature identities ⋮ Unnamed Item

Cites Work

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• The sixteen classes of almost Hermitian manifolds and their linear invariants
• The structure of nearly Kähler manifolds
• Nearly Kähler geometry and Riemannian foliations.
• Riemannian manifolds with geodesic symmetries of order 3
• Conformally Einstein products and nearly Kähler manifolds
• Nearly Kähler manifolds
• 4-dimensional conformally flat Kähler manifolds
• Curvature and Betti Numbers. II
• Bochner-Kähler metrics
• Almost Hermitian surfaces with vanishing Tricerri–Vanhecke Bochner curvature tensor
• Curvature Tensors on Almost Hermitian Manifolds
• An example of a 6-dimensional flat almost Hermitian manifold
• On a $K$-space of constant holomorphic sectional curvature

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